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Sixty-seven questions?

Then what does it mean if one is smart enough to cheat without being caught? Does it basically imply one is just too lazy to study enough to avoid the urge to cheat, but want the marks enough to invest effort into devising strategies of cheating without getting caught?

If you're smart enough to cheat without being caught, you should be smart enough to not need to cheat, right?

Here's some hints. $\noindent 2) This can be modelled as a Markov process. Let $x_{1}(k)=\text{no. absent }k\text{ days from now}$ and $x_{2} (k) = \text{ no. at school }k\text{ days from now}$, for $k=0,1,2,\ldots$. Using the given transition probabilities, we can set up a system of coupled...

Your answer is right, as the others have also said.

What was your working? Maybe we can see what you did wrong (if anything).

Simple example where a function isn't differentiable is f(x) = |x| at x = 0.

Re: MATH1131 help thread Finding derivatives from first principles is in the 2U syllabus, surely? And if it is, finding the derivative of x^2 would be a typical example.

Re: MATH1131 help thread Yeah, that's how you get 2x. (This is something done in 2U I'm pretty sure.)

Hints: Just write b – a as vec(AB) for simplicity, recall that the dot product is linear (can expand it), and d•d = ||d||2. More generally though, for any vectors u, v† in Rn, it is true that u – projv u is orthogonal to v. This is essentially how the vector projection is defined (i.e. note the...

$\noindent If $P$ is the point on the line closest to $B$, then $P$ is the point corresponding to the vector $\vec{p}=\vec{a}+\lambda_{\text{vert.}}\vec{d}$, where $\lambda_{\text{vert.}}$ is the $\lambda$ value where the quadratic in part (a) is minimised. Using standard vertex of parabola...

I can't remember the full or exact details, but iirc the distribution of marks is important, not just the ranks. The full process is described in the PDF attached in this quote: . Maybe I'll read through that document again (haven't read it for a while), but I recall that they use a quadratic...

If you're 1 mark behind someone in the end internally, it generally doesn't make too much difference. Relative gaps between people in terms of marks is important too, not just rank.

If you did report her, how do you know she'd know it was you who reported it? Were you the only one who saw her apparently cheating?

Hospitality is on the English Paper 2 day, not Paper 1, isn't it?

Here is the link to the HSC (written) exam timetable: https://studentsonline.bostes.nsw.edu.au/go/exams/hsc_2016_exam_timetable/ .

$\noindent Let $\bold{x},\bold{y}\in \mathbb{R}^{n}$. Recall that $\bold{a}\cdot \bold{b} = \bold{a}^{T}\bold{b}$ for any vectors $\bold{a},\bold{b} \in \mathbb{R}^{n}$ (basically the RHS refers to the vectors as matrices with one column (when it's not transposed), so the RHS is a matrix...

Re: HSC 2016 4U Marathon It'd be worse if it weren't massless :p.

Re: HSC 2016 4U Marathon They don't usually seem to ask those types of Q's in the HSC (like with a sliding ring), if I recall correctly. I do think they can found in textbook Q's though.

$\noindent Let $\vec{p} =\left[ \begin{matrix}a\\b\\c\end{matrix} \right]\in \mathbb{R}^{3}$. Suppose $\vec{p}$ lies on both planes. Then from the first plane's equation, we must have $a-b+3c=0 \quad (1)$.$ $\noindent From the second plane's equation, we have $\vec{p} = \lambda_1 \left[...